Let f(x)=x⁵+2 x³+3 x+1, x R, and g(x) be a function such that g(f(x))=x for all x R. Then (g(7))/(g^()(7)) is equal to:

Limit, Continuity and Differentiability: JEE Main 2024 Mathematics question

JEE Main 2024 · 5 Apr, Morning shift · Q2750

JEE Main 20245 Apr, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let

f(x)=x^5+2 x^3+3 x+1, x \in \mathbf{R}

, and

g(x)

be a function such that

g(f(x))=x

for all

x \in \mathbf{R}

. Then

\frac{g(7)}{g^{\prime}(7)}

is equal to :